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1

Mahdi Al-Araji, Karaar, M. A. Almoussawi, and Kareem J. Alwana. "The Heat Transfer Performance of MWCNT, CuO, and Al2O3 Nanofluids in an Automotive Engine Radiator." E3S Web of Conferences 286 (2021): 01009. http://dx.doi.org/10.1051/e3sconf/202128601009.

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The effect of enhancing heat transfer using three nanofluids, Multi-Walled Carbon Nanotubes MWCNT, Copper oxide CuO, and aluminum oxide Al2O3, have been experimentally studied on the automotive radiator with a concentration of 1% vol and different flow rates (4-8) l/min, air velocity of 3 m/s and inlet temperatures range (60-80) °C. The results showed that the use of nanofluids improved the thermal performance compared to the base fluid. Using the (MWCNT-Water) achieved 41.7% of Nusselt number where as, copper oxide (CuO) and aluminum oxide (Al2O3) have improved the Nussult number by 31.7 % an
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2

Sana Jaafar Yaseen. "Numerical Study of Steady Natural Convection Flow in A Prismatic Enclosure with Strip Heater on Bottom Wall Using Flexpde." Diyala Journal of Engineering Sciences 7, no. 1 (2014): 61–80. http://dx.doi.org/10.24237/djes.2014.07105.

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Laminar natural convection in two-dimensional Prismatic enclosure is studied and analysis numerically. For the enclosure top inclined walls are considered at low temperature, two vertical walls are adiabatic and strip heater at constant high temperature mounted on the bottom enclosure, while the reminder bottom wall kept at low known temperature. The partial differential equations for two dimensional conservation of mass, momentum and energy are solved using finite element software package (FLEXPDE.5). For Rayleigh number varying from 103 to 105 and for constant Prandtal number Pr=0.7 the chan
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3

Tunc, Gokturk, and Yildiz Bayazitoglu. "NUSSELT NUMBER VARIATION IN MICROCHANNELS." Hybrid Methods in Engineering 3, no. 4 (2001): 18. http://dx.doi.org/10.1615/hybmetheng.v3.i4.10.

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Kiwitt, Thede, Konstantin Fröhlich, Matthias Meinke, and Wolfgang Schröder. "Nusselt correlation for ellipsoidal particles." International Journal of Multiphase Flow 149 (April 2022): 103941. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2021.103941.

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5

Mitrovic, J. "The Nusselt condensation and nonisothermality." International Journal of Heat and Mass Transfer 41, no. 24 (1998): 4055–61. http://dx.doi.org/10.1016/s0017-9310(98)00178-1.

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6

Burmasheva, N. V., and E. Yu Prosviryakov. "Inhomogeneous Nusselt–Couette–Poiseuille Flow." Theoretical Foundations of Chemical Engineering 56, no. 5 (2022): 662–68. http://dx.doi.org/10.1134/s0040579522050207.

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7

Milyutin, V. G., and V. S. Loginov. "APPROXIMATE SOLUTIONS OF GRETZ - NUSSELT PROBLEM." Oil and Gas Studies, no. 6 (December 30, 2015): 46–54. http://dx.doi.org/10.31660/0445-0108-2015-6-46-54.

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The approximate solutions of Gretz - Nusselt problem are provided in the article. For these solutions their application range and a definition of errors occurred at solving the differential equation of energy are given.
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8

Shapovalov, V. M. "Graetz–Nusselt Problem for Bingham Liquid." High Temperature 57, no. 3 (2019): 407–13. http://dx.doi.org/10.1134/s0018151x19030143.

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9

Ünsal, Mazhar. "Effect of waves on Nusselt condensation." International Journal of Heat and Mass Transfer 31, no. 9 (1988): 1944–47. http://dx.doi.org/10.1016/0017-9310(88)90208-6.

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10

Lehnen, M. V., C. Y. Y. Lee, and F. L. D. Alves. "Nusselt number correlation for synthetic jets." Journal of the Brazilian Society of Mechanical Sciences and Engineering 38, no. 7 (2015): 2161–71. http://dx.doi.org/10.1007/s40430-015-0337-1.

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11

Zhang, Yan, and Hai Wei Xie. "The Convective Heat Transfer in Furcated Blood Vessels." Applied Mechanics and Materials 475-476 (December 2013): 1599–602. http://dx.doi.org/10.4028/www.scientific.net/amm.475-476.1599.

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A finite element model was developed to simulate the 3-D velocity and temperature distributions in a vessel system including a bifurcated blood vessel and two branches. The effect of the angel between vessels and bifurcation ratio were taken into account, and the local Nusselt number at three typical radial angels and the mean Nusselt number on a section in the branching vessel were obtained. Results show that: the flow and temperature fields were highly unlike the distributions of a single vessel; the local Nusselt number were different at different radial angels; In the entrance region of th
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12

Gayvas, B., H. Shayner, M. Voloshyn, O. Hasko, and N. Rak. "Refinement of Nusselt numbers in drying processes." Mathematical Modeling and Computing 12, no. 1 (2025): 275–82. https://doi.org/10.23939/mmc2025.01.275.

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It is proposed to refine the calculation of Nusselt numbers by considering the mass transfer coefficient in the evaporation zone, which is significantly larger than the molecular mass transfer coefficient of vapour. This refinement aims to address the discrepancy between the elevated Nusselt criteria observed during drying and the criteria determined by the thickness of the boundary layer, which provides more accurate results.
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13

Su, Duan, He, Ma, and Xu. "Thermally Developing Flow and Heat Transfer in Elliptical Minichannels with Constant Wall Temperature." Micromachines 10, no. 10 (2019): 713. http://dx.doi.org/10.3390/mi10100713.

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Laminar convective heat transfer of elliptical minichannels is investigated for hydrodynamically fully developed but thermal developing flow with no-slip condition. A three-dimensional numerical model is developed in different elliptical geometries with the aspect ratio varying from 0.2 to 1. The effect of Reynolds number (25 ≤ Re ≤ 2000) on the local Nusselt number is examined in detail. The results indicate that the local Nusselt number is a decreasing function of Reynolds number and it is sensitive to Reynolds number especially for Re less than 250. The effect of aspect ratio on local Nusse
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14

Choi, C. Y., and F. A. Kulacki. "Mixed Convection Through Vertical Porous Annuli Locally Heated From the Inner Cylinder." Journal of Heat Transfer 114, no. 1 (1992): 143–51. http://dx.doi.org/10.1115/1.2911239.

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Mixed convection in a vertical annulus filled with a saturated porous medium is numerically and experimentally investigated. Calculations are carried out under the traditional Darcy assumptions and cover the ranges 10 ≤ Ra ≤ 200 and 0.01 ≤ Pe ≤ 200. Both numerical and experimental results show that the Nusselt number increases with either Ra or Pe when the imposed flow is in the same direction as the buoyancy-induced flow. When the imposed flow opposes buoyancy-induced flow, the Nusselt number first decreases with an increase of the Peclet number and reaches a minimum before increasing again.
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15

Kim, Sun Kyoung. "Correlations for Convective Laminar Heat Transfer of Carreau Fluid in Straight Tube Flow." Energies 15, no. 7 (2022): 2368. http://dx.doi.org/10.3390/en15072368.

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Correlations for the Nusselt number for the fully-developed laminar flow of Carreau fluids through circular pipe subject to a uniform heat flux have been sought. Based on the mathematical expression, the Nusselt number could be obtained by numerical integration. To evaluate the Nusselt number for many conditions, an efficient integration method has been proposed. Using the obtained Nusselt number for different material constants and flow conditions, an improved correlation method has been proposed. The proposed correlation could reduce the maximum error from 3% to 0.9%.
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16

Ligrani, P. M., and G. I. Mahmood. "Spatially Resolved Heat Transfer and Friction Factors in a Rectangular Channel With 45-Deg Angled Crossed-Rib Turbulators." Journal of Turbomachinery 125, no. 3 (2003): 575–84. http://dx.doi.org/10.1115/1.1565353.

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Spatially resolved Nusselt numbers, spatially averaged Nusselt numbers, and friction factors are presented for a stationary channel with an aspect ratio of 4 and angled rib turbulators inclined at 45 deg with perpendicular orientations on two opposite surfaces. Results are given at different Reynolds numbers based on channel height from 10,000 to 83,700. The ratio of rib height to hydraulic diameter is .078, the rib pitch-to-height ratio is 10, and the blockage provided by the ribs is 25% of the channel cross-sectional area. Nusselt numbers are given both with and without three-dimensional con
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17

Nur Farah Hanis Kamalulzaman, Nurul Farhanah Azman, Mohamad Nor Musa, and Syahrullail Samion. "Experimental Investigation of the Effectiveness of Jet Impingement Cooling System on the Pressure Side of the Turbine Blade." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 84, no. 1 (2021): 33–42. http://dx.doi.org/10.37934/arfmts.84.1.3342.

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The effectiveness of the jet impingement system on the turbine blade pressure side has been experimentally investigated. The effects of height-to-diameter ratio and air velocity on the effectiveness of jet impingement were studied. Experiments was performed under varying height-to-diameter ratios (H/D = 5, 10, 15, 20) where the distance from the nozzle to the pressure side surface ranged from 20, 40, 60 and 80 mm with a constant nozzle diameter of 4 mm. The Nusselt number is calculated to determine the cooling effect of the pressure side model surface. Experiments were also performed at varyin
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18

Brodnianská, Zuzana, and Stanislav Kotšmíd. "Numerical Study of Heated Tube Arrays in the Laminar Free Convection Heat Transfer." Energies 13, no. 4 (2020): 973. http://dx.doi.org/10.3390/en13040973.

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Laminar free convection heat transfer from a heated cylinder and tube arrays is studied numerically to obtain the local and average Nusselt numbers. To verify the numerical simulations, the Nusselt numbers for a single cylinder were compared to other authors for the Rayleigh numbers of 103 and 104. Furthermore, the vertically arranged heated tube arrays 4 × 1 and 4 × 2 with the tube ratio spacing SV/D = 2 were considered, and obtained average Nusselt numbers were compared to the existing correlating equations. A good agreement of the average Nusselt numbers for the single cylinder and the bott
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19

Basha, Mehaboob, and C. S. Nor Azwadi. "Regularized Lattice Boltzmann Simulation of Laminar Natural Convection in Entrance Region of 2D Channels." Applied Mechanics and Materials 307 (February 2013): 267–70. http://dx.doi.org/10.4028/www.scientific.net/amm.307.267.

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This paper presents a numerical study of incompressible laminar natural convection in entrance region of two dimensional vertical and inclined channels using regularized lattice Boltzmann Bhatnaghar-Gross-Krook method. Individual distribution functions with lattice types D2Q9 and D2Q5 are considered to solve fluid flow and thermal fields, respectively. Rayleigh number and inclination angle are varied from 10e2 to 10e6 and 0 to 60°, respectively. Distribution functions are introduced to mimic Bernoulli’s equation for calculating pressure at the inlet. Predicted Nusselt numbers are compared with
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20

Yusuf, Yusuf, and Tardi Kuniawan. "STUDI NUMERIK PENGARUH REYNOLDS NUMBER TERHADAP KARAKTERISTIK ALIRAN DAN PERPINDAHAN PANAS PADA SUSUNAN PIPA TIPE STAGGERED." Injection: Indonesian Journal of Vocational Mechanical Engineering 1, no. 2 (2024): 95–101. http://dx.doi.org/10.58466/injection.v1i2.1423.

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Karakteristik aliran dan perpindahan panas fluida terhadap silinder sirkular dengan pola tertentu sering digunakan dalam berbagai cabang teknologi modern saat ini. Besarnya nilai heat transfer saat aliran fluida melintasi silinder sirkular yang ditunjukkan dengan parameter Nusselt number, baik itu Nusselt number lokal (NuФ) maupun Nusselt number rata-rata. Perpindahan panas forced convection pada silinder sirkular tipe staggered dengan variasi bilangan Reynolds (ReD) yaitu 80, 200, 5000 sedangkan transverse pitch (2D; 2D). Temperatur inlet fluida masuk shell 350 oK dan temperatur tube 300 oK,
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21

Yusuf, Yusuf. "STUDI NUMERIK PENGARUH REYNOLDS NUMBER TERHADAP KARAKTERISTIK ALIRAN DAN PERPINDAHAN PANAS PADA SUSUNAN PIPA TIPE STAGGERED." Injection: Indonesian Journal of Vocational Mechanical Engineering 1, no. 2 (2021): 95–101. http://dx.doi.org/10.58466/injection.v1i2.315.

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Karakteristik aliran dan perpindahan panas fluida terhadap silinder sirkular dengan pola tertentu sering digunakan dalam berbagai cabang teknologi modern saat ini. Besarnya nilai heat transfer saat aliran fluida melintasi silinder sirkular yang ditunjukkan dengan parameter Nusselt number, baik itu Nusselt number lokal (NuФ) maupun Nusselt number rata-rata. Perpindahan panas forced convection pada silinder sirkular tipe staggered dengan variasi bilangan Reynolds (ReD) yaitu 80, 200, 5000 sedangkan transverse pitch (2D; 2D). Temperatur inlet fluida masuk shell 350 oK dan temperatur tube 300 oK,
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22

Xiong, Ting, Chenchen Chen, Yong Chen, and Zhenlong Fang. "Numerical study of the momentum and heat transfer between an oblate ellipsoid and a gas in uniform flow." Journal of Physics: Conference Series 2569, no. 1 (2023): 012058. http://dx.doi.org/10.1088/1742-6596/2569/1/012058.

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Abstract In this study, drag coefficient (cd ) and Nusselt number (Nu) for oblate ellipsoids with different incident angles (θ) and particle aspect ratios (Ar) in uniform flow have been computed over a wide range of Re ∈[10,500]. Finally, a new drag coefficient correlation is proposed, which covers a wider range of oblate ellipsoids. Surprisingly, we observe that the incident angle has a negligible effect on the Nusselt number for the oblate ellipsoids in the Reynolds number range studied. The Nusselt number for oblate ellipsoids with incident angle (θ) can be approximated accurately by the av
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23

Ho-Liu, P., B. H. Hager, and A. Raefsky. "An improved method of Nusselt number calculation." Geophysical Journal International 88, no. 1 (1987): 205–15. http://dx.doi.org/10.1111/j.1365-246x.1987.tb01375.x.

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24

Sazhenkov, S. A. "The genuinely nonlinear Graetz—Nusselt ultraparabolic equation." Siberian Mathematical Journal 47, no. 2 (2006): 355–75. http://dx.doi.org/10.1007/s11202-006-0048-z.

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25

Takeda, K., S. Benkadda, S. Hamaguchi, and M. Wakatani. "Nusselt number scaling in tokamak plasma turbulence." Physics of Plasmas 12, no. 5 (2005): 052309. http://dx.doi.org/10.1063/1.1895165.

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26

Yusuf, Yusuf. "STUDI NUMERIK PENGARUH TRANVERSE PITCH TERHADAP KARAKTERISTIK ALIRAN DAN PERPINDAHAN PANAS PADA SUSUNAN PIPA TIPE STAGGERED." INOVTEK POLBENG 8, no. 1 (2018): 24. http://dx.doi.org/10.35314/ip.v8i1.263.

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Karakteristik aliran dan perpindahan panas fluida terhadap silinder sirkular dengan pola tertentu sering digunakan dalam berbagai cabang teknologi moderen saat ini. Aplikasi praktisnya banyak digunakan pada dunia industri seperti menentukan desain susunan pipa pada sistem alat penukar panas. Besarnya nilai perindahan panas saat aliran fluida melintasi silinder sirkular yang ditunjukkan dengan parameter Nusselt number, baik itu Nusselt number lokal (NuФ) maupun Nusselt number rata-rata. Perpindahan panas konveksi paksa pada silinder sirkular tipe staggered menggunakan 3 variasi bilangan Reynold
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27

REDDY, P. VENKATA, G. S. V. L. NARASIMHAM, S. V. RAGHURAMA RAO, T. JOHNY, and K. V. KASIVISWANATHAN. "CFD ANALYSIS OF CONJUGATE NATURAL CONVECTION IN A VERTICAL ANNULUS." International Journal of Computational Methods 05, no. 01 (2008): 63–89. http://dx.doi.org/10.1142/s021987620800139x.

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Conjugate natural convection in a vertical annulus with a centrally located vertical heat generating rod is studied numerically. The governing equations are discretized on a staggered mesh and are solved using a pressure-correction algorithm. A parametric study is performed by varying the Grashof number, aspect ratio, and the solid-to-fluid thermal conductivity ratio over wide ranges with the Prandtl number fixed at 0.7. Results are presented for the variation of several quantities of interest such as the local Nusselt numbers on the inner and outer boundaries, the axial variation of the cente
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28

Mustafa, Irfan, Abuzar Ghaffari, Tariq Javed, and Javeria Nawaz Abbasi. "Numerical Examination of Thermophysical Properties of Cobalt Ferroparticles over a Wavy Surface Saturated in Non-Darcian Porous Medium." Journal of Non-Equilibrium Thermodynamics 45, no. 2 (2020): 109–20. http://dx.doi.org/10.1515/jnet-2019-0019.

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AbstractIn this study, the effect of magnetic field on an incompressible ferrofluid flow along a vertical wavy surface saturated in a porous medium is investigated. Ferrofluid is made by incorporating magnetic particles, in this case cobalt, at the nanoscale level into a base fluid. For the study of porous medium two well-known models, namely, Darcy and non-Darcy, are used. The mathematical model in terms of governing partial differential equations which are based on conservation laws in mechanics according to the assumption is developed, and this model is converted into a dimensionless form b
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29

Peng, You Shun, Li Yang, and Yong Cheng Du. "Integral Analysis of Heat Transfer on Falling Laminar Liquid Film with Constant Heat Flux." Advanced Materials Research 516-517 (May 2012): 30–35. http://dx.doi.org/10.4028/www.scientific.net/amr.516-517.30.

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Integral analysis of heat transfer of a laminar falling liquid film along a vertical heated plate with specified heat flux boundary condition was investigated. The temperature distribution of liquid film was obtained by utilizing an integral analysis method, which was compared with numerical solution and other researcher’s results. In this analysis a new concept of thermal changing point was put forward. It’s found that the Nusselt number has a characteristic relationship with thermal changing point, which is obtained by calculation. When the film flow distance is less than thermal changing po
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30

Owoeye, Samuel Oluyemi, Ayodeji Falana, Abiodun Abideen Yussouff, and Quadri Ademola Mumuni. "Effects of viscous dissipation over an unsteady stretching surface embedded in a porous medium with heat generation and thermal radiation." International Journal of Applied Mechanics and Engineering 29, no. 3 (2024): 17–31. http://dx.doi.org/10.59441/ijame/190398.

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This work analyzes the impact of viscous dissipation on an unstable stretching surface in a porous medium with heat generation and thermal radiation—an important factor for numerous engineering applications like cooling baths and plastic sheets. Using MATLAB's Runge-Kutta fourth-order approach, the controlling partial differential equations are converted into highly nonlinear ordinary differential equations that can be solved numerically. The findings show that a decrease in the skin friction coefficient, temperature profiles, velocity, and Nusselt number occurs when the unsteadiness parameter
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31

Won, S. Y., N. K. Burgess, S. Peddicord, and P. M. Ligrani. "Spatially Resolved Surface Heat Transfer for Parallel Rib Turbulators With 45 Deg Orientations Including Test Surface Conduction Analysis." Journal of Heat Transfer 126, no. 2 (2004): 193–201. http://dx.doi.org/10.1115/1.1668046.

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Spatially resolved Nusselt numbers, spatially-averaged Nusselt numbers, and friction factors are presented for a stationary channel with an aspect ratio of 4 and angled rib turbulators inclined at 45 deg with parallel orientations on two opposite surfaces. Results are given at different Reynolds numbers based on channel height from 9000 to 76,000. The ratio of rib height to hydraulic diameter is 0.078, the rib pitch-to-height ratio is 10, and the blockage provided by the ribs is 25 percent of the channel cross-sectional area. Nusselt numbers are determined with three-dimensional conduction con
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32

Almesri, Issa F., Mosab A. Alrahmani, Jaber H. Almutairi, and Hosny Z. Abou-Ziyan. "Correlations of Heat Transfer and Fluid Flow Data for Lattice Brick Settings in Tunnel Kilns." Energies 16, no. 9 (2023): 3631. http://dx.doi.org/10.3390/en16093631.

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This paper proposes correlation equations of heat transfer and pressure drop for the design and operation of tunnel kilns loaded with lattice brick settings of different geometrical parameters in the form of Nusselt number and friction factor. The developed correlation equations considered parameters that were not investigated in previous studies, such as the relative roughness of the bricks and the stack channels, and they also extended the Reynolds numbers to a practical range that was not covered before in a simple, practical form. The correlation equations are valid for Reynolds number bet
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33

Sultana, S., and Nepal C. Roy. "Natural Convection Flow of MHD Micropolar Fluid Along a Vertical Wavy Surface." Dhaka University Journal of Science 65, no. 2 (2017): 91–96. http://dx.doi.org/10.3329/dujs.v65i2.54514.

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We study the boundary layer characteristics of natural convection flow of an electrically conducting micropolar fluid along a vertical wavy surface. The dimensionless governing equations have been solved numerically. Results are presented in terms of the local skin-friction coefficient, the local Nusselt number and the local couple stress with the variation of amplitude-wavelength ratio, magnetic parameter, vortex viscosity parameter and spin-gradient viscosity parameter. Due to increase of the amplitude wave-length ratio, the skin-friction and the couple stress are found to decrease whereas t
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Chambers, B., and Tien-Yu T. Lee. "A Numerical Study of Local and Average Natural Convection Nusselt Numbers for Simultaneous Convection Above and Below a Uniformly Heated Horizontal Thin Plate." Journal of Heat Transfer 119, no. 1 (1997): 102–8. http://dx.doi.org/10.1115/1.2824074.

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Numerical simulations were conducted to determine local and average natural convection Nusselt numbers for uniformly heated horizontal plates with convection occurring simultaneously from upper and lower surfaces. Plate width and heating rate were used to vary the modified Rayleigh number over the range of 86 to 1.9 × 108. Upper surface Nusselt numbers were found to be smaller than corresponding lower surface Nusselt numbers. The local Nusselt number was largest at the plate edge and decreased towards the plate center for both surfaces. This variation followed approximately a minus 1/3-power l
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35

Zhao, Ning Bo, Shu Ying Li, Jia Long Yang, Zhi Tao Wang, and Hui Meng. "Numerical Study of Laminar Flow and Convection Heat Transfer of Nanofluids inside Circular Tube." Advanced Materials Research 960-961 (June 2014): 299–303. http://dx.doi.org/10.4028/www.scientific.net/amr.960-961.299.

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This paper presents a numerical study on laminar flow and convective heat transfer of nanofluids in a circular tube under constant wall heat flux boundary condition. Single phase model is used for simulating the heat transfer and flow behaviors of three different nanofluids. The effects of nanoparticle concentrations, nanoparticle diameter, nanoparticle material and Reynolds number on the Nusselt number and wall shear stress of nanofluids are determined and discussed in details. The comparison of Nusselt number of CuO-EG/water, SiO2-EG/water and Al2O3-EG/water nanofluids are presented. The res
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36

Lin, Yan-Ting, and Ching-Chang Cho. "Analysis of Energy Flux Vector on Natural Convection Heat Transfer in Porous Wavy-Wall Square Cavity with Partially-Heated Surface." Energies 12, no. 23 (2019): 4456. http://dx.doi.org/10.3390/en12234456.

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The study utilizes the energy-flux-vector method to analyze the heat transfer characteristics of natural convection in a wavy-wall porous square cavity with a partially-heated bottom surface. The effects of the modified Darcy number, modified Rayleigh number, modified Prandtl number, and length of the partially-heated bottom surface on the energy-flux-vector distribution and mean Nusselt number are examined. The results show that when a low modified Darcy number with any value of modified Rayleigh number is given, the recirculation regions are not formed in the energy-flux-vector distribution
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37

Parrales, Arianna, José Hernández-Pérez, Oliver Flores, et al. "Heat Transfer Coefficients Analysis in a Helical Double-Pipe Evaporator: Nusselt Number Correlations through Artificial Neural Networks." Entropy 21, no. 7 (2019): 689. http://dx.doi.org/10.3390/e21070689.

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In this study, two empirical correlations of the Nusselt number, based on two artificial neural networks (ANN), were developed to determine the heat transfer coefficients for each section of a vertical helical double-pipe evaporator with water as the working fluid. Each ANN was obtained using an experimental database of 1109 values obtained from an evaporator coupled to an absorption heat transformer with energy recycling. The Nusselt number in the annular section was estimated based on the modified Wilson plot method solved by an ANN. This model included the Reynolds and Prandtl numbers as in
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38

Taler, Dawid. "Semi-empirical heat transfer correlations for turbulent tube flow of liquid metals." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 1 (2018): 151–72. http://dx.doi.org/10.1108/hff-09-2017-0367.

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Purpose The purpose of this paper is to develop new semi-empirical heat transfer correlations for turbulent flow of liquid metals in the tubes, and then to compare these correlations with the experimental data. The Prandtl and Reynolds numbers can vary in the ranges: 0.0001 ≤ Pr ≤ 0.1 and 3000 ≤ Re ≤ 106. Design/methodology/approach The energy conservation equation averaged by Reynolds was integrated using the universal velocity profile determined experimentally by Reichardt for the turbulent tube flow and four different models for the turbulent Prandtl number. Turbulent heat transfer in the c
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39

J. Shkarah, Ahmed. "Laminar Fully Developed Forced Convection of Power Law Fluid in a Circular Tube." University of Thi-Qar Journal for Engineering Sciences 2, no. 1 (2011): 126–43. http://dx.doi.org/10.31663/utjes.v2i1.184.

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Laminar forced convection heat transfer in a non-Newtonian fluid flow inside a pipe has been investigated analytically. Fully developed laminar velocity distributions obtained by a power-law fluid rheology model is used, and viscous dissipation was taken into account. The theoretical analysis of the heat transfer is performed under a constant wall temp. case. An important feature of this approach is that it permits an arbitrary distribution of the surrounding medium temperature and an arbitrary velocity distribution of the fluid. These techniques were verified by a comparison with the existing
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40

Stevens, J., and B. W. Webb. "Local Heat Transfer Coefficients Under an Axisymmetric, Single-Phase Liquid Jet." Journal of Heat Transfer 113, no. 1 (1991): 71–78. http://dx.doi.org/10.1115/1.2910554.

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The purpose of this investigation was to characterize local heat transfer coefficients for round, single-phase free liquid jets impinging normally against a flat uniform heat flux surface. The problem parameters investigated were jet Reynolds number Re, nozzle-to-plate spacing z, and jet diameter d. A region of near-constant Nusselt number was observed for the region bounded by 0≤r/d≤0.75, where r is the radial distance from the impingement point. The local Nusselt number profiles exhibited a sharp drop for r/d > 0.75, followed by an inflection and a slower decrease there-after. Increasing
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41

Burgess, N. K., M. M. Oliveira, and P. M. Ligrani. "Nusselt Number Behavior on Deep Dimpled Surfaces Within a Channel." Journal of Heat Transfer 125, no. 1 (2003): 11–18. http://dx.doi.org/10.1115/1.1527904.

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Experimental results, measured on a dimpled test surface placed on one wall of a channel, are given for a ratio of air inlet stagnation temperature to surface temperature of approximately 0.94, and Reynolds numbers ReH from 12,000 to 70,000. These data include friction factors, local Nusselt numbers, spatially-resolved local Nusselt numbers, and globally-averaged Nusselt numbers. The ratio of dimple depth to dimple print diameter δ/D is 0.3, and the ratio of channel height to dimple print diameter is 1.00. These results are compared to measurements from other investigations with different rati
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42

Farthing, P. R., C. A. Long, J. M. Owen, and J. R. Pincombe. "Rotating Cavity With Axial Throughflow of Cooling Air: Heat Transfer." Journal of Turbomachinery 114, no. 1 (1992): 229–36. http://dx.doi.org/10.1115/1.2927990.

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Heat transfer measurements were made in two rotating cavity rigs, in which cooling air passed axially through the center of the disks, for a wide range of flow rates, rotational speeds, and temperature distributions. For the case of a symmetrically heated cavity (in which both disks have the same temperature distribution), it was found that the distributions of local Nusselt numbers were similar for both disks and the effects of radiation were negligible. For an asymmetrically heated cavity (in which one disk is hotter than the other), the Nusselt numbers on the hotter disk were similar to tho
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43

Kumar, Manoj, Saurabh Gupta, Pramod Jain, Sunil Kumar, Nikhil Sharma, and MD Suhaib. "Numerical Calculation of Heat Transfer in a Rectangular Channel with Triangular Vortex Generators in the Channel at Blade Angle 30° for Reynolds no. of 800, 1200." International Journal for Research in Applied Science and Engineering Technology 11, no. 4 (2023): 1269–76. http://dx.doi.org/10.22214/ijraset.2023.50294.

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Abstract: The vortex generators in this study are placed at angle of 30° in a rectangular channel. These vortices create the down wash flow towards the lower channel wall while the up wash flow is away from the wall which is found in the outside region of the vortices. Along the downstream direction, the secondary velocity vectors decreases while the distance between the vortex cores increases. Thinning of the thermal boundary layer thus occurs in between the two vortices. The variation of span wise averaged Nusselt number was calculated at different values of x at Reynolds number of 800, 1200
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44

Ou, S., J. C. Han, A. B. Mehendale, and C. P. Lee. "Unsteady Wake Over a Linear Turbine Blade Cascade With Air and CO2 Film Injection: Part I—Effect on Heat Transfer Coefficients." Journal of Turbomachinery 116, no. 4 (1994): 721–29. http://dx.doi.org/10.1115/1.2929465.

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The effect of unsteady wake flow and air (D.R. = 1.0) or CO2 (D.R. = 1.52) film injection on blade heat transfer coefficients was experimentally determined. A spoked wheel-type wake generator produced the unsteady wake. Experiments were performed on a five-airfoil linear cascade in a low-speed wind tunnel at the chord Reynolds number of 3 × 105 for the no-wake case and at the wake Strouhal numbers of 0.1 and 0.3. Results from a blade with three rows of film holes in the leading edge region and two rows each on the pressure and suction surfaces show that the Nusselt numbers are much higher than
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45

Ali, Sarmad A., and Suhad A. Rasheed. "Experimental Investigation of Forced Convection in Plain or Partly Inserted Square Channel with Porous Media." Journal of Engineering 30, no. 04 (2024): 99–117. http://dx.doi.org/10.31026/j.eng.2024.04.07.

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Several techniques are used to improve the channels' heat transfer coefficient and Nusselt number. One of the methods used for these improvements is porous media (PM). This research deals with an experimental study of heat transfer by forced convection inside a square-shaped channel (0.12 x 0.12 m2) with a length of (0.5 m) and a hydraulic diameter of (0.12 m). The heat flux (4791.7 W/m2) is exposed below the test section, and other walls are thermally insulated. The air was used as the working fluid for the Reynolds number range (2689.6 to 5806.3). The channel was partially filled with the PM
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46

Xiong, Ting, Yongkang Yang, Chenchen Chen, Jingdun Pang, Hongsheng Zhang, and Yong Chen. "Study on the drag and heat transfer characteristics of near-wall oblate spheroids." Journal of Physics: Conference Series 2992, no. 1 (2025): 012048. https://doi.org/10.1088/1742-6596/2992/1/012048.

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Abstract In this study, computational fluid dynamics was used to calculate the drag coefficient and Nusselt number for oblate ellipsoids placed near the wall. The simulation results indicate that the drag coefficient and Nusselt number increase with increasing particle-wall distance. Compared to the cases in unbounded uniform flow, the maximal relative difference in drag coefficient and Nusselt number are 75.61% and 36.64%, respectively. Thus, the wall has a significant effect on the momentum and heat transfer between particles and fluids.
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47

Adnan Abid, Ghassan. "Effect of inclination angle on natural convection from inclined plate with variable viscosity and thermal conductivity." University of Thi-Qar Journal for Engineering Sciences 7, no. 1 (2016): 28–46. http://dx.doi.org/10.31663/utjes.v7i1.7.

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In this paper, a numerical investigation of a natural convection from an isothermal inclined plate immersed in air has been done. Taking into account the variation of the viscosity and thermal conductivity with temperature. The governing conservation equations of continuity, momentum and energy are non-dimensionalized by using an appropriate transformation. The non-dimensionalized equations are solved simultaneously by using a finite volume method. The effect of inclination angle with varying viscosity and thermal conductivity on the local skin friction,local Nusselt number,average skin fricti
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48

Morini, G. L., and M. Spiga. "Nusselt Numbers in Rectangular Ducts With Laminar Viscous Dissipation." Journal of Heat Transfer 121, no. 4 (1999): 1083–87. http://dx.doi.org/10.1115/1.2826061.

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In this paper, the steady temperature distribution and the Nusselt numbers are analytically determined for a Newtonian incompressible fluid in a rectangular duct, in fully developed laminar flow with viscous dissipation, for any combination of heated and adiabatic sides of the duct, in H1 boundary condition, and neglecting the axial heat conduction in the fluid. The Navier-Stokes and the energy balance equations are solved using the technique of the finite integral transforms. For a duct with four uniformly heated sides (4 version), the temperature distribution and the Nusselt numbers are obta
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49

Naz, Rahila, Fazle Mabood, and Tasawar Hayat. "Inclined magnetic field effects on Marangoni flow of Carreau liquid." Thermal Science 24, no. 2 Part B (2020): 1131–41. http://dx.doi.org/10.2298/tsci180429211n.

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Marangoni convection flow of Carreau liquid by an inclined porous surface is addressed. Magnetic field is taken inclined. Non-linear thermal radiation effects are incorporated considering the Rosseland?s approximation. Runge-Kutta-Fehl?berg fourth fifth order scheme is utilized to solve the non-linear equations subject to non-linear convective boundary conditions. Non-linear expression of Nusselt number is derived. Concrete graphical description is present out for flow velocity, temperature and Nusselt number. Numerical treatment of non-linear Nusselt number is performed and analyzed.
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50

Arbiyani, Filian. "Numerical Study of a Thermosyphon Cooling System: film condensation." E3S Web of Conferences 42 (2018): 01005. http://dx.doi.org/10.1051/e3sconf/20184201005.

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Studies of condensation in several cooling systems have been conducted. However, the mode of condensation in two-phase cooling systems to achieve a high rate of condensation in compact devices has not been explored. Condensation phenomena, indeed, is a key parameter in designing a thermosyphon water cooled condenser system. The analysis of this condensation phenomena has been done numerically by implementing the governing equations and boundary conditions in commercial MATLAB software. Steady-state laminar film condensation on the radial system is assumed as a condensation phenomenon between v
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